Book Club Word Problem

Question

Amanda, bryan, and colin are in a book club. amanda reads twice as many books as bryan per month and colin reads 4 fewer than 3 times as many books as
bryan in a month. in 4 months the number of books amanda reads is equal to 5/8 the sum of the number of books bryan and colin read in 4 months. how many books does each person read each month?





I honestly have no idea how to work this please help

Answer 1

Let B = number of books that Bryan reads

Amanda = 2B

Colin = 3B-4

 

Amanda = 5/8(Bryan + Colin)

2B = 5/8(B+3B-4)

2B = 5/8(4B-4)

Multiply each side by 8 to clear the fraction

16B = 5(4B-4)

16B = 20B - 20

Subtract 20B from each side

-4B =-20

Divide both sides by -4

B = 5

So Bryan reads 5 books a month, Amanda reads 10 books a month, and  Colin reads 11 books a month.